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Finding the Fourth Proportional to 269.04, 400.62 and 258

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Solution

The fourth proportional to 269.04, 400.62 and 258 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 400.62 = 258 : x
  2. Step 2: Convert to fraction form
    269.04/400.62 = 258/x
  3. Step 3: Cross multiply
    269.04x = 400.62 × 258
  4. Step 4: Simplify right side
    269.04x = 103,359.96
  5. Step 5: Solve for x
    x = 103,359.96/269.04
  6. Step 6: Final answer
    x = 384.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.